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## Main Question or Discussion Point

I wanted to catch the latest action show with my girlfriend, so I went to buy 2 movie tickets. Walking away from the counter, I bumped into a friend Clever Joe.

Clever Joe was interested to know my movie ticket numbers, but I cheekily refused to tell him the answer directly, telling him instead, "Each ticket number is 4-digit, and the sum of the 8 digits (of 2 tickets) is 25."

Clever Joe thought a little, and asked, "Does any ticket has its 4 digits adding up to 13?" I answered him (yes or no).

Clever Joe asked again, "Are you able to identify a single digit that appears the most times?" I answered him (yes or no).

To my surprise, Joe confidently and accurately told me what my 2 ticket numbers are.

The big question: What are the ticket numbers?

Clever Joe was interested to know my movie ticket numbers, but I cheekily refused to tell him the answer directly, telling him instead, "Each ticket number is 4-digit, and the sum of the 8 digits (of 2 tickets) is 25."

Clever Joe thought a little, and asked, "Does any ticket has its 4 digits adding up to 13?" I answered him (yes or no).

Clever Joe asked again, "Are you able to identify a single digit that appears the most times?" I answered him (yes or no).

To my surprise, Joe confidently and accurately told me what my 2 ticket numbers are.

The big question: What are the ticket numbers?